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Article overview
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Waveforms for xG Non-stationary Channels | | Zhibin Zou
; Aveek Dutta
; | | Date: |
1 Jan 2023 | | Abstract: | Waveform design aims to achieve orthogonality among data signals/symbols
across all available Degrees of Freedom (DoF) to avoid interference while
transmitted over the channel. In general, precoding decomposes the channel
matrix into desirable components in order to construct a precoding matrix,
which is combined with the data signal to orthogonality in the spatial
dimension. On the other hand, modulation uses orthogonal carriers in a certain
signal space to carry data symbols with minimal interference from other
symbols. However, it is widely evident that next Generation (xG) wireless
systems will experience very high mobility, density and time-varying multi-path
propagation that will result in a highly non-stationarity of the channel
states. Conventional precoding methods using SVD or QR decomposition, are
unable to capture these joint spatio-temporal variations as those techniques
treat the space-time-varying channel as separate independent spatial channel
matrices and hence fail to achieve joint spatio-temporal orthogonality.
Meanwhile, the carriers in OFDM and OTFS modulations are unable to maintain the
orthogonality in the frequency and delay-Doppler domain respectively, due to
the higher order physical variation like velocity (Doppler effect) or
acceleration (time-varying Doppler effect). In this article, we review a recent
method called High Order Generalized Mercer’s Theorem (HOGMT) for orthogonal
decomposition of higher dimensional, non-stationary channels and its
application to MU-MIMO precoding and modulation. We conclude by identifying
some practical challenges and the future directions for waveform design for
MU-MIMO non-stationary channels based on HOGMT. | | Source: | arXiv, 2301.00454 | | Services: | Forum | Review | PDF | Favorites | |
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